Find the value of x. A. 25 B. 32.5 C. 37.5 D. 65
2 answers:
Answer: The correct option is (A) 25.
Step-by-step explanation: We are given to find the value of x from the figure shown.
From the figure, we note that there are two parallel lines and a transversal.
Also, the angles with measurements (x + 40)° and (3x - 10)° are corresponding angles.
Since the measures of two corresponding angles are equal, so we must have
Thus, the required value of x is 25.
Option (A) is CORRECT.
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( + 4)(
- 4)
To solve this question you must FOIL (First, Outside, Inside, Last) like so
First:
(x^2 + 4)(x^2 - 4)
x^2 * x^2
x^4
Outside:
(x^2 + 4)(x^2 - 4)
x^2 * -4
-4x^2
Inside:
(x^2 + 4)(x^2 - 4)
4 * x^2
4x^2
Last:
(x^2 + 4)(x^2 - 4)
4 * -4
-16
Now combine all the products of the FOIL together like so...
x^4 - 4x^2 +4x^2 - 16
Combine like terms:
x^4 - 4x^2 +4x^2 - 16
- 4x^2 +4x^2 = 0
x^4 - 16 <<<This is your answer
Hope this helped!
~Just a girl in love with Shawn Mendes